Question 48
$2.$ Call a natural number $n$ faithful, if there exist natural numbers $a \lt b \lt c$ such that $a$ divides $b$, $b$ divides $c$ and $n = a + b + c$.
(i) Show that all but a finite number of natural numbers are faithful.
(ii) Find the sum of all natural numbers which are not faithful.
(i) Show that all but a finite number of natural numbers are faithful.
(ii) Find the sum of all natural numbers which are not faithful.